In two lattice QCD ensembles, flavor-singlet charmonium and light-meson operators mix with each other and with gluonic operators, and adding a two-pion operator reveals an additional low-lying state.
Scalar glueballs: Constraints from the decays into $\eta$ or $\eta'$
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abstract
We study the mixing of the scalar glueball into the isosinglet mesons $f_0 (1370)$, $f_0(1500)$, and $f_0(1710)$ to describe the two-body decays to pseudoscalars. We use an effective Hamiltonian and employ the two-angle mixing scheme for $\eta$ and $\eta'$. In this framework, we analyse existing data and look forward to new data into $\eta$ and $\eta'$ channels. For now, the $f_0 (1710)$ has the largest glueball component and a sizable branching ratio into $\eta\eta'$, testable at BESIII.
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Flavor mixing in charmonium and light mesons with optimal distillation profiles
In two lattice QCD ensembles, flavor-singlet charmonium and light-meson operators mix with each other and with gluonic operators, and adding a two-pion operator reveals an additional low-lying state.